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Finding the Fourth Proportional to 17,766.25, 26,647.49 and 9,437.43

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Solution

The fourth proportional to 17,766.25, 26,647.49 and 9,437.43 is: 14,155.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,766.25 : 26,647.49 = 9,437.43 : x
  2. Step 2: Convert to fraction form
    17,766.25/26,647.49 = 9,437.43/x
  3. Step 3: Cross multiply
    17,766.25x = 26,647.49 × 9,437.43
  4. Step 4: Simplify right side
    17,766.25x = 251,483,641.13
  5. Step 5: Solve for x
    x = 251,483,641.13/17,766.25
  6. Step 6: Final answer
    x = 14,155.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.